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Cubo (Temuco)

On-line version ISSN 0719-0646

Cubo vol.14 no.1 Temuco  2012

http://dx.doi.org/10.4067/S0719-06462012000100008 

CUBO A Mathematical Journal Vol.14, N° 01, (93-110). March 2012

New Aspects on Elementary Functions in the Context of Quaternionic Analysis

S. Georgiev, J. Morais and W. Spröss

Department of Differential Equations, University of Sofia, Sofia, Bulgaria, email: sgg2000bg@yahoo.com

Technical University of Mining, Freiberg, Germany, email: joao.pedro.morais@ua.pt

Technical University of Mining, Freiberg, Germany, email: sproessig@math.tu-freiberg.de


ABSTRACT

The main objective of this article is to give a survey on elementary functions in the context of quaternionic analysis. We define some of their more common properties, which as in the real and complex cases, will be familiar to the reader. This leads to the consideration of quaternion-valued functions depending on a quaternion variable, that is, functions whose input and output are quaternions.

Keywords and Phrases: Quaternionic analysis, elementary functions.


RESUMEN

El objetivo principal de este artículo es dar una visión general sobre funciones elementales en el contexto de análisis cuaterniónico. Definimos algunas de sus propiedades más comunes, que como en los casos reales y complejos, serán familiares para el lector. Esto lleva a la consideración de las funciones de valor-cuaterniónico dependiendo de una variable cuaterniónica, esto es, funciones las cuales de entrada y salida son cuaterniones.

2010 AMS Mathematics Subject Classification: 30G35, 30A10.


 

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Received: May 2011. Revised: June 2011.